Optimization of properties of multicomponent isotropic composites

DOI10.1007/BF00939160zbMath0545.73005MaRDI QIDQ797335

Cherkaev, Andrej V., Konstantin A. Lurie

Publication date: 1985

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

microstructureextremal conductivityfinite number and infinite number of initial compoundsHashin-Shtrikman procedureminimize its resultant conductivitynatural assumptionsoptimal isotropic binary mixtureprinciple of consecutive assembling of binary mixtures

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Composite and mixture properties (74E30) Optimization problems in solid mechanics (74P99)

Related Items (13)

Geometrical-parameter bounds on the effective moduli of composites ⋮ Optimal three-material wheel assemblage of conducting and elastic composites ⋮ Bounds on the effective conductivity of statistically isotropic multicomponent materials and random cell polycrystals ⋮ Variational bounds on the effective moduli of anisotropic composites ⋮ New exact results for the effective electric, elastic, piezoelectric and other properties of composite ellipsoid assemblages. ⋮ Hashin–Shtrikman bounds and their attainability for multi-phase composites ⋮ Improved bounds for composites and rigidity of gradient fields ⋮ Univalentσ-harmonic mappings: applications to composites ⋮ Is it wise to keep laminating? ⋮ Multiphase laminates of extremal effective conductivity in two dimensions ⋮ Multiphase composites with extremal bulk modulus ⋮ A new class of extremal composites ⋮ Effective stiffness tensor of composite media. I: Exact series expansions

Cites Work

• Unnamed Item
• A study of the differential scheme for composite materials
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials

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